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Uniqueness in a One-Dimensional Problem of Finding a Time-Dependent Potential

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References

  1. Bukhgeim A. L. and Klibanov M. V., “Uniqueness in the large of a class of multidimensional inverse problems,” Dokl. Akad. Nauk SSSR, 260, No. 2, 269–272 (1981).

    Google Scholar 

  2. Bukhgeim A. L., “Carleman estimates and inverse problems,” Proc. Japan Math. Soc. (to appear).

  3. Belishev M. I. and Blagoveshchenski A. S., Dynamic Inverse Problems of Wave Theory [in Russian], St. Petersburg Univ., St. Petersburg (1999).

    Google Scholar 

  4. Romanov V. G., Inverse Problems of Mathematical Physics [in Russian], Nauka, Moscow (1984).

    Google Scholar 

  5. Nizhnik L. P., Inverse Scattering Problems for Hyperbolic Equations [in Russian], Naukova Dumka, Kiev (1990).

    Google Scholar 

  6. Stefanov P. D., “Uniqueness of the multi-dimensional inverse scattering problem for time dependent potentials,” Math. Z., 201, No. 4, 541–559 (1989).

    Google Scholar 

  7. Ramm A. G. and Sjöstrand J. S., “An inverse problem for the wave equation,” Math. Z., 206, 119–130 (1991).

    Google Scholar 

  8. Bukhgeim A. L., Volterra Equations and Inverse Problems [in Russian], Nauka, Novosibirsk (1983).

    Google Scholar 

  9. Lavrent'ev M. M., Romanov V. G., and Shishatskii S. P., Ill-Posed Problems of Mathematical Physics and Analysis [in Russian], Nauka, Moscow (1980).

  10. Isakov V., Inverse Problems for Partial Differential Equations, Springer-Verlag, Berlin, Heidelberg, New York, and Tokyo (1998).

    Google Scholar 

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Authors and Affiliations

  1. The Sobolev Institute of Mathematics, Novosibirsk

    G. V. Dyatlov

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  1. G. V. Dyatlov
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Dyatlov, G.V. Uniqueness in a One-Dimensional Problem of Finding a Time-Dependent Potential. Siberian Mathematical Journal 42, 44–51 (2001). https://doi.org/10.1023/A:1004885208381

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